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Finding the Fourth Proportional to 398,398.11, 549,769.80 and 217,109.49

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Solution

The fourth proportional to 398,398.11, 549,769.80 and 217,109.49 is: 299,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,398.11 : 549,769.80 = 217,109.49 : x
  2. Step 2: Convert to fraction form
    398,398.11/549,769.80 = 217,109.49/x
  3. Step 3: Cross multiply
    398,398.11x = 549,769.80 × 217,109.49
  4. Step 4: Simplify right side
    398,398.11x = 119,360,240,895.40
  5. Step 5: Solve for x
    x = 119,360,240,895.40/398,398.11
  6. Step 6: Final answer
    x = 299,600.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.